Equivariant KK-theory and its application in index theory
| dc.contributor.advisor | Kucerovsky, Dan | |
| dc.contributor.author | Abdolmaleki, Yavar | |
| dc.date.accessioned | 2023-03-01T16:16:48Z | |
| dc.date.available | 2023-03-01T16:16:48Z | |
| dc.date.issued | 2022 | |
| dc.date.updated | 2023-03-01T15:01:10Z | |
| dc.description.abstract | In this thesis, using the calculation of a couple of Kasparov products of asymptotically equivariant cycles, we find the index of an asymptotically equivariant Dirac-Schr¨odinger operator on a hyperbolic manifold. In fact, using the calculation of the Kasparov products of a couple of asymptotically equivariant cycles, we reduce the problem of finding the index to the case in which the manifold is compact and so the problem reduces to the Atiyah-Singer index theorem. | |
| dc.description.copyright | © Yavar Abdolmaleki, 2022 | |
| dc.format | text/xml | |
| dc.format.extent | viii, 98 pages | |
| dc.format.medium | electronic | |
| dc.identifier.uri | https://unbscholar.lib.unb.ca/handle/1882/13270 | |
| dc.language.iso | en_CA | |
| dc.publisher | University of New Brunswick | |
| dc.rights | http://purl.org/coar/access_right/c_abf2 | |
| dc.subject.discipline | Mathematics and Statistics | |
| dc.title | Equivariant KK-theory and its application in index theory | |
| dc.type | doctoral thesis | |
| thesis.degree.discipline | Mathematics and Statistics | |
| thesis.degree.fullname | Doctor of Philosophy | |
| thesis.degree.grantor | University of New Brunswick | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
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